What is the derivative of f(x)=e^{tan(x)} ?

The derivative of f(x)=e^{tan(x)} is e^{tan(x)}sec^2(x)

What is the first derivative of f(x)=e^{tan(x)} ?

The first derivative of f(x)=e^{tan(x)} is e^{tan(x)}sec^2(x)

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derivative of

f (x) = e^{t a n (x)}

e^{t a n (x)} sec^{2} (x)

Solution steps

\frac{d}{d x} (e^{t a n (x)})

Apply the chain rule:

e^{t a n (x)} \frac{d}{d x} (tan (x))

= e^{t a n (x)} \frac{d}{d x} (tan (x))

\frac{d}{d x} (tan (x)) = sec^{2} (x)

= e^{t a n (x)} sec^{2} (x)

\frac{\partial}{\partial u} (\frac{v}{1 + uv w})

g (t) = - 4 t^{2} + 3 t - 3

y^{^{''}} + 3 y^{^{'}} + 2 y = e^{- t}

\int_{- 1}^{4} (x^{2} + x^{3}) d x

What is the derivative of f(x)=e^{tan(x)} ?
The derivative of f(x)=e^{tan(x)} is e^{tan(x)}sec^2(x)
What is the first derivative of f(x)=e^{tan(x)} ?
The first derivative of f(x)=e^{tan(x)} is e^{tan(x)}sec^2(x)